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Chapter 4: Q. 65 (page 195)

In Problems 65鈥�68, construct a polynomial function that might have the given graph. (More than one answer may be possible.)

Short Answer

Expert verified

The possible function isf(x)=x(x-1)(x-2)

Step by step solution

01

Step 1. Given information

The graph is

02

Step 2. To find the possible function from graph.

In the given graph we can see that there are 3 zeros because the graph is crossing the x-axis at three different points:

x=0x=1x=2

So the factors of the function are: role="math" localid="1646318209936" x-0,x-1,x-2

At all these points the graph crosses x-axis

So each zero will have odd multiplicity

Hence the function is

f(x)=x(x-1)(x-2)

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Most popular questions from this chapter

Solve each inequality algebraically.

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